<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Using method of Laguerre polynomials we have obtained the solution of the dynamic problem of the theory of elasticity for elastic cylinder inserted into massive body modeled as a space. The source of non-stationary processes in composite is high intensity force load of the inner surface of the cylinder. On the surface separation of materials of space and cylinder the conditions of ideal mechanical contact are satisfied. The solution is obtained as series of Laguerre polynomials, which coefficients are found from recurrent relations. The results of numerical analysis of transient stress-strain state in elastic space with cylindrical insertion might be used for the technological process of hydraulic fracturing during shale gas extraction.</p></abstract>

Using method of Laguerre polynomials we have obtained the solution of the dynamic problem of the theory of elasticity for elastic cylinder inserted into massive body modeled as a space. The source of non-stationary processes in composite is high intensity force load of the inner surface of the cylinder. On the surface separation of materials of space and cylinder the conditions of ideal mechanical contact are satisfied. The solution is obtained as series of Laguerre polynomials, which coefficients are found from recurrent relations. The results of numerical analysis of transient stress-strain state in elastic space with cylindrical insertion might be used for the technological process of hydraulic fracturing during shale gas extraction.

Transient Vibrations of an Elastic Cylinder Inserted in the Elastic Medium

Faculty of Mechanical Engineering, Bialystok University of Technology, Wiejska Str., 45C, 15-351 Bialystok, Poland

Faculty of Engineering, University of Pannonia, Egyetem str., 10, H-8200 Veszprem, Hungary

Pidstryhach IAPMM, NANU, Naukova str., 3b, 79060 Lviv, Ukraine

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Transient Vibrations of an Elastic Cylinder Inserted in the Elastic Medium"}

Using method of Laguerre polynomials we have obtained the solution of the dynamic problem of the theory of elasticity for elastic cylinder inserted into...

Transient Vibrations of an Elastic Cylinder Inserted in the Elastic Medium

Publié en ligne: 08 juin 2016

Pages: 133 - 136

Reçu: 04 mai 2015

Accepté: 16 mai 2016

DOI: https://doi.org/10.1515/ama-2016-0021

Mots clés
Transient Wave Propagation, Nongomogeneous Medium, Analytical Solution, Laguerre Polynomials

© 2016 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Transient Vibrations of an Elastic Cylinder Inserted in the Elastic Medium

Publié en ligne: 08 juin 2016

Pages: 133 - 136

Reçu: 04 mai 2015

Accepté: 16 mai 2016

DOI: https://doi.org/10.1515/ama-2016-0021

Mots clésTransient Wave Propagation, Nongomogeneous Medium, Analytical Solution, Laguerre Polynomials

© 2016 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Transient Wave Propagation, Nongomogeneous Medium, Analytical Solution, Laguerre Polynomials